Question

The perimeter of a triangle is 48 cm. and if sides are 14 cm 19cm and (x+4)cm find it length and breadth​

Answer 1

$\LARGE{\underline{\blue{\sf{Solution:-}}}}$

GivEn :-

Perimeter of a triangle = 48 cm.

Sides ( A , B , C ) = 14 cm , 19 cm , ( x + 4 ) cm.

To finD :-

To find the length and breadth of a triangle.

Steps :-

We know that to find the perimeter of triangle there's one formula, that is , Sum of all sides of triangle.

So , Perimeter of triangle = Sum of all sides

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀48 = 14 + 19 + ( x + 4 )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀48 = 33 + ( x + 4 )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀48 - 33 = x + 4

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀15 = x + 4

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀x = 15 - 4

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀x = 11

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

Now, we can find the breadth of the triangle as we found the value of x.

So , Breadth = x + 4

⠀⠀⠀⠀⠀⠀⠀⠀= 11 + 4

⠀⠀⠀⠀⠀⠀⠀⠀= 15 cm.

⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, Length can be 14 cm or 19 cm and breadth is equals to 15 cm.